Lecture 27
Homework
Problem 27.1
a) Do problem 6.70 in Rao as written.
b) Compare your answer to Simulink using k = 1000, m = 10, and x& 3 (0) = 3 . Include
plots of your results and well as a plot of the Simulink solution minus the
theoretical solution for all three coordinates. Use k = 1000, m = 10, and xdot30
x& 3 (0) = 3 . You should have plots that looks something like the following:
X1
0.5
simulink
theory
0
-0.5
0
1
2
3
4
5
6
7
8
9
10
X2
0.5
simulink
theory
0
-0.5
0
1
2
3
4
5
6
7
8
9
10
X3
0.5
simulink
theory
0
-0.5
0
1
2
3
-3
5
4
5
6
7
8
9
10
7
8
9
10
7
8
9
10
7
8
9
10
Simulink - theory for x1
x 10
0
-5
0
1
2
3
-3
5
4
5
6
Simulink - theory for x2
x 10
0
-5
0
1
2
3
4
5
6
Simuilnk - theory for x3
0.01
0
-0.01
0
1
2
3
4
5
6